Answer:
x=13/5 or x=2.6
Step-by-step explanation:
Can someone help me on this it’s been giving me a hard time
Given:
QRST is an isosceles trapezoid with RS||QT.
To find:
The value of x, angle R and angle T.
Solution:
If a transversal line intersect two parallel lines then the sum of same sides interior angles is 180 degrees.
[tex]m\angle Q+m\angle R=180[/tex]
[tex](6x-22)+(8x+34)=180[/tex]
[tex]14x+12=180[/tex]
[tex]14x=180-12[/tex]
[tex]14x=168[/tex]
Divide both sides by 14.
[tex]x=\dfrac{168}{14}[/tex]
[tex]x=12[/tex]
Now,
[tex]m\angle R=(8x+34)^\circ[/tex]
[tex]m\angle R=(8(12)+34)^\circ[/tex]
[tex]m\angle R=(96+34)^\circ[/tex]
[tex]m\angle R=130^\circ[/tex]
We know that the base angles of an isosceles triangle are equal.
[tex]m\angle T=m\angle Q=(6x-22)^\circ[/tex]
[tex]m\angle T=(6(12)-22)^\circ[/tex]
[tex]m\angle T=(72-22)^\circ[/tex]
[tex]m\angle T=50^\circ[/tex]
Therefore, [tex]x=12,\ m\angle R=130^\circ[/tex] and [tex]m\angle T=50^\circ[/tex].
The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45
B.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45
C.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45
D.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i need help asap pls
Answer:
Work out the Area of the figure, then multiply that answer by $25.
Which is a simplified form of the expression -9(y + 1) + 5y?
Answer:
Your answer is -4y - 9
Step-by-step explanation:
Simplify the expression.
~Brainiliest please~
During an local election the ratio of teens to adults who voted was 9.3. If 732 people voted how many were teens
Answer: 549
Step-by-step explanation:
Given
The ratio of teens to adults is 9:3
The total number of people who voted is 732
let 9x be the no of teens and 3x be the no of adults such that their ratio is 9:3
So, we can write
[tex]\Rightarrow 9x+3x=732\\\Rightarrow 12x=732\\\Rightarrow x=61[/tex]
No of the teens were [tex]9x=9\times 61=549[/tex]
1.
A. 4.4%
B. 104.1%
C. 4.2%
D. 0.042%
Answer:
D. 0.042%
Step-by-step explanation:
YOUR ANSWER
Graphical form: T%2Ahef%2Aor%2Amu%2Alar=A%5EP-1g%2Aiv%2Aest%2Ahei%2Ant%2Aer%2Aes%2Atr%2Aat%2Aer simplifies to T%2Ahef%2Aor%2Amu%2Alar-A%5EP%2Bg%2Aiv%2Aest%2Ahei%2Ant%2Aer%5E2%2Aes%2Atr%2Aat=0
Text form: T*hef*or*mu*lar=A^P-1g*iv*est*hei*nt*er*es*tr*at*er simplifies to T*hef*or*mu*lar-A^P+g*iv*est*hei*nt*er^2*es*tr*at=0
Cartoon (animation) form:
For tutors: simplify_cartoon( T*hef*or*mu*lar=A^P-1g*iv*est*hei*nt*er*es*tr*at*er )
If you have a website, here's a link to this solution.
DETAILED EXPLANATION
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes T%2Ahef%2Aor%2Amu%2Alar=A%5EP-g%2Aiv%2Aest%2Ahei%2Ant%2Aer%2Aes%2Atr%2Aat%2Aer.
Look at .
Reduce similar several occurrences of highlight_red%28+er+%29 to highlight_green%28+er%5E2+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-A%5EP+%29,highlight_green%28+g%2Aiv%2Aest%2Ahei%2Ant%2Aer%5E2%2Aes%2Atr%2Aat+%29
It becomes .
Result: T%2Ahef%2Aor%2Amu%2Alar-A%5EP%2Bg%2Aiv%2Aest%2Ahei%2Ant%2Aer%5E2%2Aes%2Atr%2Aat=0
How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
a. 0
B. 1
c.2
d.3
Answer:
0
Step-by-step explanation: i did the lesson
Carlton and Leon are expert bowlers. Seventy percent of Carlton's rolls are strikes, while 67% of Leon's rolls are strikes. Suppose that Carlton and Leon each bowl 25 games. What is the probability that Leon's proportion of strikes is greater than Carlton's for these games?
Answer:
The probability that Leon strikes is greater than Carlton strike is 0.40905
Step-by-step explanation:
From the question, we have;
The percentage of Carlton's rolls are strikes, [tex]\hat p_1[/tex] = 70%
The number of games Carlton played, n₁ = 25
The percentage of Leon's rolls that are strikes, [tex]\hat p_2[/tex] = 67%
The number of games Leon played, n₂ = 25
Therefore, we have;
[tex]\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}[/tex]
Where;
k₁ = 0.7 × 25 = 17.5
k₂ = 0.67 × 25 = 16.75
[tex]\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685[/tex]
The test statistic is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
[tex]Z=\dfrac{0.7-0.67}{\sqrt{0.685 \cdot (1-0.685)\cdot \left (\dfrac{1}{25}+\dfrac{1}{25} \right )}} \approx 0.2283[/tex]
From the z-table, we have;
The p-value for Carlton strikes is greater than Leon's strike = 0.59095
∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905
The probability that Leon strikes is greater than Carlton strike = 0.40905
You are putting money into a bank account. You start with $100 and add $12 every month. The total amount of money in your account can be represented by the following equation. (where T is total amount and M is the number of months):
T = 100 + 12 M
If you have $208, how many months have passed?
Show the equation and how you got the answer.
100
Add 12 every month
Ex: 100 + 12
100 + 12 + 12+ 12+ 12+ 12+ 12+ 12+ 12+ 12
It wound not be 100 x 9 because 100 x 9 is 900
Therefore 9 months
9 x 12 = 108
so that would be 100+108= 208
Hope this helps~
What are the measurements of angle 1 and angle 2
Find the interest
earned:
$26,000 for 36 months
at 7.5% annual
compound interest
Answer:
Interest = $6,300 (Approx.)
Step-by-step explanation:
Given:
Amount deposit (P) = $26,000
Number of month = 36 month
Number of year (n) = 36 / 12 = 3 year
Rate of interest (r) = 7.5% = 0.075
Find:
Interest earned
Computation:
Interest = p[(1+r)ⁿ-1]
Interest = 26,000[(1+0.075)³-1]
Interest = 26,000[(1.075)³-1]
Interest = 6,299.71
Interest = $6,300 (Approx.)
Select the graph that correctly represents the
armount of money. y. Jack earns doing
chores for x hours at $2 an hour if he works
for a maximum of 8 hours.
Answer: C
Step-by-step explanation: Because 2 times 1= 2 2times 2=4 2 times 3=6 etc...
What is the value of x?
Answer:
x = 39
Step-by-step explanation:
The angle between a tangent and the radius of a circle at the point of contact is 90° , then
x = 180 - (90 + 51) = 180 - 141 ← angle sum of triangle
x = 180 - 141 = 39
x + 51 = 90
x = 90 - 51
x = 39°
Arc AD=98 and I need help with both problems below
Answer:
arc DC = 64
angle DCQ = 32
Step-by-step explanation:
Hello There!
The circumference of a normal circle is 360
Given that arc AD = 98 and having found arc ABC we can find arc DC by subtract the known arcs from 360
360 - 98 - 198 = 64
Hence arc DC = 64
The problem wants us to find angle DCQ having found arc DC
Remember like stated before an included angle is equal to 1/2 its opposite arc
64/2=32
so angle DCQ = 32
y = 7x + 19
-21 x 3y = 57
Answer:
x= -2 y= -5
Step-by-step explanation:
asap please help for brain list
If a+b = c which of the following statements is true?
b-c=a
a-c=b
c-a=b
c+b= a
Answer:
c-a=B
Step-by-step explanation:
if A+B=c then you subtract a from c and you get b
Answer:
C. c - a = b
Step-by-step explanation:
a + b = c
There are many ways to rearrange this equation. This can be done through addition and subtraction.
First, let's handle a. a is positive; therefore, we should subtract it.
a + b = c
b = c - a
Next, let's handle b. b is also positive; therefore, we should subtract it.
a + b = c
a = c - b
Finally, we will handle c. c is once again positive; therefore we should subtract it. However, it is the only variable on the right side, which would leave 0. This is not an option, so we will not look at this.
From our options, we can see that we have produced: b = c - a
This is an option, which has been written as c - a = b.
Therefore, your answer is C. c - a = b
Hope this helps!
A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 6800 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xxx, the number of 100-kilogram crates that can be loaded into the shipping container.
Answer:
x ≤ 207 crates
Step-by-step explanation:
Greatest weight of the container = 27,500 kilograms
Weight of other shipment = 6,800 kilograms
Weight of a crate = 100 kilograms
Number of 100-kilogram crates that can be loaded into the shipping container = x
The inequality is
27,500 ≤ 6800 + 100x
27,500 - 6800 ≤ 100x
20,700 ≤ 100x
x ≤ 20,700 / 100
x ≤ 207 crates
how many square metre of carpeting are needed to cover a floor that measures 8m by 5m
Answer:
40 meters squared
Step-by-step explanation:
8 * 5 = 40
The measure of one interior angle of a parallelogram is 5 times the measure
of another angle. What's the measurement of the larger interior angle?
Answer:
Step-by-step explanation:
The sum of these adjacent angles must sum to 180 degrees (also the sum of all angles must be 360)
a+5a=180
6a=180
a=30
The larger angle is 5a so the larger angle is
5(30)=150 degrees.
less than 100 students want to start at 9:00 am true or false
for there are 17
a charm on a lucy's bracelet had the dimensions shown what is the area of the charm
Answer:
13
Step-by-step explanation:
Bonnie's doctor recommended that she drink 2cups of milk per day. If she buys 3 quarts of milk,will it be enough milk to last 1 week?
Answer:
She does not have enough milk to last for 1 week
Step-by-step explanation:
From the question, we are told that:
Bonnie's doctor recommended that she drink 2cups of milk per day.
Step 1
The number of days in a week is 7 days
Hence
1 day = 2 cups of milk
7 days = x
Cross Multiply
x = 7 × 2 cups of milk
= 14 cups of milk.
Step 2
If she buys 3 quarts of milk,will it be enough milk to last 1 week?
We have the conversion rate as:
1 quart = 4 cups
Therefore,
1 quart = 4 cups
3 quarts = x cups
Cross Multiply
x cups = 3 quarts × 4 cups/1 quart
x cups = 12 cups of milk
This means she bought 12 cups of milk.
Therefore, from the above calculation, she does not have enough milk to last for 1 week because due to her doctor's recommendation, she need 14 cups of milk for the week but she only bought 12 cups of milk
Answer:
70
Step-by-step explanation:
68+2
An artist is using right triangles in her design. If all the triangles have an angle measure of 24, what is the measure of the third angle?
Answer:
66°
Step-by-step explanation:
Given that :
Right angle measure of a triangle are used in a design :
A right angles triangle has one of its angle equals 90 ;a
Since the second angle is given as 24 ; b
The measure of the third angle ; c will be :
Sum of angles in a triangle = 180
(a + b + c) = 180
(90 + 24 + c) = 180
c = 180 - 114
c = 66°
If You Had Three Wishes, What Would You Wish For?
Answer:
I would wish to be the brainliest, I would wish for more points, and i would wish for more people to answer my questions
Step-by-step explanation:
thats only for brainly though
Answer:
My three wishes would be:
1: Get all staright A's
2: the sickness that starts with C thats going around goes away forever
3: Have some cheesecake.
Step-by-step explanation:
8
Which expression is equivalent to 4.8 + 2.2w – 1.4w + 2.4?
Answer:
7.2 + 0.8w
Step-by-step explanation:
Combine like terms.
Here Like terms: i) 2.2w and (-1.4w)
II) 4.8 and 2.4
4.8 + 2.2w - 1.4w + 2.4 = 4.8 + 2.4 + 2.2w - 1.4w
= 7.2 + 0.8w
Consuelo recorded the amount of time, in minutes, she spent exercising on the treadmill. 15, 25, 30, 25, 45, 20, 35, 30, 35, 30, 40 Which value best represents the mode? 10 min 10 min 30 min 30 min 35 min 35 min 25 min
Answer: 30 mins.
Step-by-step explanation:
The mode is the value that appears the most times.
In such a situation, first order the numbers in an ascending order:
15, 20, 25, 25, 30, 30, 30, 35, 35, 40, 45
As can be seen from the above, 30 is the number that appears the most so the mode is 30 mins.
how many times can 10 go into 111?
Answer:
11 times
Step-by-step explanation:
hope this helps
Answer:
11.
Step-by-step explanation:
10 x 10 = 100
10 x 11 = 110
10 x 12 = 120 which is too much so its the one above.
Sallie is earning $8.70 per hour and got a 6% increase in her pay. What is sallies new rate of pay?
please help me this is for a grade
Answer:
b
Step-by-step explanation:
2
Help what is the product of 46x10
Answer:
460
Step-by-step explanation:
Answer:
460
Step-by-step explanation: